Add olive oil to a large soup pot and add the onion, garlic, and leek. Cook until the onion is softened, about 4 minutes. Add the celery, chicken thighs, wine, tarragon and broth. Bring to a boil. Lower the heat to medium and add heavy cream, and lemon juice. Simmer over medium heat, stirring occasionally, turning the chicken once or twice. Cook until the chicken is thoroughly cooked, about 30 minutes.
1 large yellow onion, 3 cloves garlic, 1 leek, 2 stalks celery, 2 Tbsp olive oil, 1 pounds boneless chicken thighs, 1 ½ cups dry white wine, 2 ½ tsp dried tarragon, 3 1/2 cups chicken broth, 1 cup heavy cream, 3 tsp lemon juice